the no. of possible integral values of m for which the circle ` x^2+y^2=4 and x^2+y^2-6x-8y+m^2=0` has exactly two common tangents are

Find the number of common tangents to the circles x^2+y^2=4 and x^2+y^2-6x-8y=24

The circles x^(2)+y^(2)-6x-8y=0 and x^(2)+y^(2)-6x+8=0 are

The one of possible real value of m for which the circles, x^(2)+y^(2)+4x+2(m^(2)+m)y+6=0 and x^(2)+y^(2)+(2y+1)(m^(2)+m)=0 intersect orthogonally is

The one of possible real value of m for which the circles, x^(2)+y^(2)+4x+2(m^(2)+m)y+6=0 and x^(2)+y^(2)+(2y+1)(m^(2)+m)=0 intersect orthogonally is

The number of common tangents to the circles x^(2) + y^(2) = 4 and x^(2)+y^(2)-6x-8y=24 is

Find the coordinates of the point at which the circles x^(2)-y^(2)-4x-2y+4=0 and x^(2)+y^(2)-12x-8y+36=0 touch each other.Also,find equations of common tangents touching the circles the distinct points.

The point lying on common tangent to the circles x^(2)+y^(2)=4 and x^(2)+y^(2)+6x+8y-24=0 is